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Finding the Fourth Proportional to 327,161.33, 490,741.97 and 90,497.85

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Solution

The fourth proportional to 327,161.33, 490,741.97 and 90,497.85 is: 135,746.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,161.33 : 490,741.97 = 90,497.85 : x
  2. Step 2: Convert to fraction form
    327,161.33/490,741.97 = 90,497.85/x
  3. Step 3: Cross multiply
    327,161.33x = 490,741.97 × 90,497.85
  4. Step 4: Simplify right side
    327,161.33x = 44,411,092,737.28
  5. Step 5: Solve for x
    x = 44,411,092,737.28/327,161.33
  6. Step 6: Final answer
    x = 135,746.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.